13110480 has 120 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 3444480.

The previous prime is 13110463. The next prime is 13110481. The reversal of 13110480 is 8401131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94251 + ... + 94389.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^13110480 is an apocalyptic number.

13110480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

13110480 is an abundant number, since it is smaller than the sum of its proper divisors (31574160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13110480 is a wasteful number, since it uses less digits than its factorization.

13110480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13110480 is about 3620.8396816208. The cubic root of 13110480 is about 235.7976816283.

The spelling of 13110480 in words is "thirteen million, one hundred ten thousand, four hundred eighty".